An exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have?

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Answer 1 · 2015-12-21T04:57:31

#24#

In a regular polygon with number of sides #n#, the measure of an exterior angle can be calculated through the formula

#(360˚)/n#

Thus, if

#(360)/n=15#

Solve for #n# to find that:

#15n=360#

#n=24#

The polygon has #24# sides.